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Simplifying 5n + -5 + 2n + 3 = 6 + 2n + 2 Reorder the terms: -5 + 3 + 5n + 2n = 6 + 2n + 2 Combine like terms: -5 + 3 = -2 -2 + 5n + 2n = 6 + 2n + 2 Combine like terms: 5n + 2n = 7n -2 + 7n = 6 + 2n + 2 Reorder the terms: -2 + 7n = 6 + 2 + 2n Combine like terms: 6 + 2 = 8 -2 + 7n = 8 + 2n Solving -2 + 7n = 8 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -2 + 7n + -2n = 8 + 2n + -2n Combine like terms: 7n + -2n = 5n -2 + 5n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -2 + 5n = 8 + 0 -2 + 5n = 8 Add '2' to each side of the equation. -2 + 2 + 5n = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 8 + 2 5n = 8 + 2 Combine like terms: 8 + 2 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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